Generating Families in the Restricted Three-Body Problem (Record no. 31722)

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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540447122
-- 978-3-540-44712-2
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 520
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Hénon, Michel.
245 10 - TITLE STATEMENT
Title Generating Families in the Restricted Three-Body Problem
Sub Title II. Quantitative Study of Bifurcations /
Statement of responsibility, etc by Michel Hénon.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg,
Year of publication 2001.
300 ## - PHYSICAL DESCRIPTION
Number of Pages XII, 304 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Physics Monographs,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Definitions and General Equations -- Quantitative Study of Type 1 -- Partial Bifurcation of Type 1 -- Total Bifurcation of Type 1 -- The Newton Approach -- Proving General Results -- Quantitative Study of Type 2 -- The Case 1/3 v < 1/2 -- Partial Transition 2.1 -- Total Transition 2.1 -- Partial Transition 2.2 -- Total Transition 2.2 -- Bifurcations 2T1 and 2P1.
520 ## - SUMMARY, ETC.
Summary, etc The classical restricted three-body problem is of fundamental importance because of its applications in astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which many have been computed numerically. This is the second volume of an attempt to explain and organize the material through a systematic study of generating families, the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. We use quantitative analysis in the vicinity of bifurcations of types 1 and 2. In most cases the junctions between branches can now be determined. A first-order approximation of families of periodic orbits in the vicinity of a bifurcation is also obtained. This book is intended for scientists and students interested in the restricted problem, in its applications to astronomy and space research, and in the theory of dynamical systems.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Computer science
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Astronomy.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Astrophysics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Engineering.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Astronomy.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Complexity.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Computational Mathematics and Numerical Analysis.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Extraterrestrial Physics, Space Sciences.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/3-540-44712-1
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 2001.
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-- online resource
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
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Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK2428 http://dx.doi.org/10.1007/3-540-44712-1 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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